Generating Families in the Restricted Three-Body Problem (Record no. 32100)

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fixed length control field 03083nam a22005415i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540696506
-- 978-3-540-69650-6
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 520
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Hénon, Michel.
245 10 - TITLE STATEMENT
Title Generating Families in the Restricted Three-Body Problem
Statement of responsibility, etc by Michel Hénon.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1997.
300 ## - PHYSICAL DESCRIPTION
Number of Pages XI, 280 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Physics Monographs,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Definitions and Properties -- Generating Orbits of the First Species -- Generating Orbits of the Second Species -- Generating Orbits of the Third Species -- Bifurcation Orbits -- Junctions: Symmetry -- Junctions: Broucke’s Principle -- Fragments -- Generating Families.
520 ## - SUMMARY, ETC.
Summary, etc The classical restricted problem of three bodies is of fundamental importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. In this book an attempt is made to explain and organize this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computer science
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Astronomy.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Astrophysics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Engineering.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Astronomy.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Complexity.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Computational Mathematics and Numerical Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Extraterrestrial Physics, Space Sciences.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/3-540-69650-4
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1997.
336 ## -
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-- txt
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-- online resource
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0940-7677 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK2806 http://dx.doi.org/10.1007/3-540-69650-4 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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